Alg 2 Chp 1 Exam

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the common difference in the sequence 13, 19, 25?

Back

The common difference is 6, as each term increases by 6.

Front

How do you determine the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does the notation 1 ≤ y ≤ 5 represent?

Back

It represents that y can take any value from 1 to 5, inclusive.

Front

What is the next term in the sequence: 2.94, 1.94, 0.94, -0.06, -1.06?

Back

The next term is -2.06.

Front

What transformation does y = f(-x) represent?

Back

It represents a horizontal reflection of the graph of y = f(x) across the y-axis.

Front

How do you calculate the total number of seats in a concert hall with 20 rows where each row has an increasing number of seats?

Back

You can find the total by identifying the pattern and using the formula for the sum of an arithmetic series.

Front

What is the formula for the sum of the first n terms of an arithmetic sequence?

Back

The formula is S_n = n/2 * (a_1 + a_n), where S_n is the sum, a_1 is the first term, and a_n is the nth term.

Front

If the first term of an arithmetic sequence is 25 and the common difference is 2, what is the 10th term?

Back

The 10th term is 25 + (10-1) * 2 = 43.